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Finding the Fourth Proportional to 6,930.66, 9,564.21 and 4,098

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Solution

The fourth proportional to 6,930.66, 9,564.21 and 4,098 is: 5,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.66 : 9,564.21 = 4,098 : x
  2. Step 2: Convert to fraction form
    6,930.66/9,564.21 = 4,098/x
  3. Step 3: Cross multiply
    6,930.66x = 9,564.21 × 4,098
  4. Step 4: Simplify right side
    6,930.66x = 39,194,132.58
  5. Step 5: Solve for x
    x = 39,194,132.58/6,930.66
  6. Step 6: Final answer
    x = 5,655.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.